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Finding the Fourth Proportional to 31,096.54, 42,931.01 and 20,504.64

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Solution

The fourth proportional to 31,096.54, 42,931.01 and 20,504.64 is: 28,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.54 : 42,931.01 = 20,504.64 : x
  2. Step 2: Convert to fraction form
    31,096.54/42,931.01 = 20,504.64/x
  3. Step 3: Cross multiply
    31,096.54x = 42,931.01 × 20,504.64
  4. Step 4: Simplify right side
    31,096.54x = 880,285,117.14
  5. Step 5: Solve for x
    x = 880,285,117.14/31,096.54
  6. Step 6: Final answer
    x = 28,308.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.